{
  "id": "math/0002022",
  "version": "v3",
  "published": "2000-02-03T01:54:20.000Z",
  "updated": "2000-12-31T20:36:59.000Z",
  "title": "Symplectic Lefschetz fibrations on S^1 x M^3",
  "authors": [
    "Weimin Chen",
    "Rostislav Matveyev"
  ],
  "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol4/paper18.abs.html",
  "journal": "Geom. Topol. 4(2000) 517-535",
  "categories": [
    "math.DG",
    "math.GT",
    "math.SG"
  ],
  "abstract": "In this paper we classify symplectic Lefschetz fibrations (with empty base locus) on a four-manifold which is the product of a three-manifold with a circle. This result provides further evidence in support of the following conjecture regarding symplectic structures on such a four-manifold: if the product of a three-manifold with a circle admits a symplectic structure, then the three-manifold must fiber over a circle, and up to a self-diffeomorphism of the four-manifold, the symplectic structure is deformation equivalent to the canonical symplectic structure determined by the fibration of the three-manifold over the circle.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-12-31T20:36:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "57R17",
      "57R57"
    ],
    "keywords": [
      "three-manifold",
      "empty base locus",
      "four-manifold",
      "classify symplectic lefschetz fibrations",
      "conjecture regarding symplectic structures"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}